Question 1

Write the expression in terms of sines and/or cosines, and then simplify.
-

Accepted Answer

A)    
B)  sin x 
C)    
D)    
A)    
B)  sin x 
C)    
D)

Question 2

Write the expression in terms of sines and/or cosines, and then simplify.
-

Accepted Answer

A)    
B)    
C)  cos x - sin x 
D)    
A)    
B)    
C)  cos x - sin x 
D)

Question 3

For the following equation, graph   on the same screen on your calculator. From the graphs, make
a conjecture as to whether the equation is an identity. If so, prove your conjecture.
-cos 2x = sin 2x tan x

Accepted Answer

The statem

Question 4

Find all angles in degrees that satisfy the equation.
-sin x = 0

Accepted Answer

Question 5

Use odd and even identities to simplify the expression.
-tan (-x) + tan x

Accepted Answer

A)  - tan x 
B)  - 2 tan x 
C)  2 tan x 
D)  0 
A)  - tan x 
B)  - 2 tan x 
C)  2 tan x 
D)  0

Question 6

Choose the equivalent expression for the given expression.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

Find all real numbers in the interval   that satisfy the equation.
-sec   = cos

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 8

Choose the equivalent expression for the given expression.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

Prove the identity.
-

Accepted Answer

The answer of Prove the identity.
- ...

Question 10

Determine whether the function is odd, even, or neither.
-f(x) =

Accepted Answer

A)  Even 
B)  Neither 
C)  Odd 
A)  Even 
B)  Neither 
C)  Odd

Question 11

Find the exact value by using a half-angle identity.
-sin 22.5°

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

Choose the expression which is equivalent to the given expression.
-

Accepted Answer

A)  cos 35° 
B)  tan 35° 
C)  sin 35° 
D)  cot 35° 
A)  cos 35° 
B)  tan 35° 
C)  sin 35° 
D)  cot 35°

Question 13

Choose the expression which is equivalent to the given expression.
-

Accepted Answer

A)  sin 9° 
B)  cos 36° 
C)  2 sin 36° 
D)  cos 9° 
A)  sin 9° 
B)  cos 36° 
C)  2 sin 36° 
D)  cos 9°

Question 14

Find the exact value, given that sin A = -4/5 with A in quadrant IV, tan B = 7/24 with B in quadrant III, and cos C = - 5/13
with C in quadrant II.
-sin 2C

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 15

Write the expression in terms of sines and/or cosines, and then simplify.
-tan   cot

Accepted Answer

A)  1 
B)    
C)    
D)    
A)  1 
B)    
C)    
D)

Question 16

Identify the equation as either an identity or not.
-

Accepted Answer

A)  Identity 
B)  Not an identity 
A)  Identity 
B)  Not an identity

Question 17

Complete the equation so the result is an identity.
-

Accepted Answer

A)  csc x 
B)  tan x 
C)  cot x 
D)  sec x 
A)  csc x 
B)  tan x 
C)  cot x 
D)  sec x

Question 18

Find all real numbers that satisfy the equation.
-sin x = -1

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

Factor and, if possible, simplify the expression.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 20

Find all real numbers that satisfy the equation.
-tan

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Write the expression in terms of sines and/or cosines, and then simplify. -

Write the expression in terms of sines and/or cosines, and then simplify. -

For the following equation, graph on the same screen on your calculator. From the graphs, make a conjecture as to whether the equation is an identity. If so, prove your conjecture. -cos 2x = sin 2x tan x

Find all angles in degrees that satisfy the equation. -sin x = 0

Use odd and even identities to simplify the expression. -tan (-x) + tan x

Choose the equivalent expression for the given expression. -

Find all real numbers in the interval that satisfy the equation. -sec = cos

Choose the equivalent expression for the given expression. -

Prove the identity. -

Determine whether the function is odd, even, or neither. -f(x) =

Find the exact value by using a half-angle identity. -sin 22.5°

Choose the expression which is equivalent to the given expression. -

Choose the expression which is equivalent to the given expression. -

Find the exact value, given that sin A = -4/5 with A in quadrant IV, tan B = 7/24 with B in quadrant III, and cos C = - 5/13 with C in quadrant II. -sin 2C

Write the expression in terms of sines and/or cosines, and then simplify. -tan cot

Identify the equation as either an identity or not. -

Complete the equation so the result is an identity. -

Find all real numbers that satisfy the equation. -sin x = -1

Factor and, if possible, simplify the expression. -

Find all real numbers that satisfy the equation. -tan

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Exam 6: Trigonometric Identities and Conditional Equations

Write the expression in terms of sines and/or cosines, and then simplify. -

Write the expression in terms of sines and/or cosines, and then simplify. -

For the following equation, graph on the same screen on your calculator. From the graphs, make a conjecture as to whether the equation is an identity. If so, prove your conjecture. -cos 2x = sin 2x tan x

Find all angles in degrees that satisfy the equation. -sin x = 0

Use odd and even identities to simplify the expression. -tan (-x) + tan x

Choose the equivalent expression for the given expression. -

Find all real numbers in the interval that satisfy the equation. -sec = cos

Choose the equivalent expression for the given expression. -

Prove the identity. -

Determine whether the function is odd, even, or neither. -f(x) =

Find the exact value by using a half-angle identity. -sin 22.5°

Choose the expression which is equivalent to the given expression. -

Choose the expression which is equivalent to the given expression. -

Find the exact value, given that sin A = -4/5 with A in quadrant IV, tan B = 7/24 with B in quadrant III, and cos C = - 5/13 with C in quadrant II. -sin 2C

Write the expression in terms of sines and/or cosines, and then simplify. -tan cot

Identify the equation as either an identity or not. -

Complete the equation so the result is an identity. -

Find all real numbers that satisfy the equation. -sin x = -1

Factor and, if possible, simplify the expression. -

Find all real numbers that satisfy the equation. -tan

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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